Question: The carolina tobacco company advertised that its best-selling nonfiltered cigarettes contain at most \(40 \mathrm{mg}\) of nicotine, but consumer advocate magazine ran tests of 10 randomly selected cigarettes and found the amounts (in mg) shown in the list below. it's a serious matter to charge that company advertising is wrong, so the magazine editor chooses a significance level of \(\alpha=0.01\) in testing her belief that the mean nicotine content is greater than \(40 \mathrm{mg}\). using a .01 significance level, test the editor's belief that the mean is greater than \(40 \mathrm{mg}\).

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